What is the perimeter of a square which circumscribes a circle of radius a cm?

Question:

What is the perimeter of a square which circumscribes a circle of radius a cm?  

Solution:

We know that if a square circumscribes a circle, then the side of the square is equal to the diameter of the circle.
∴ Side of Square = 2a
Now, Perimeter of the square = 4 ⨯ Side of square = 4 ⨯ 2a = 8cm
Hence, the perimeter of the square is 8a cm.

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